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3 years ago

What is the kinetic energy of a 0.25kg ball rolling at a speed of 2.5m/s

Physics

1 answer:

Lisa [10]3 years ago

4 0

Answer:

Explanation:

Kinetic Energy formula:

KE = $\frac{1}{2}$ mv²

m=mass

v=speed

Given:

m=0.25kg

v=2.5m/s

Plug the values in:

KE = 1/2(0.25kg)(2.5m/s)²

KE = 0.78125 J (Joules)

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A solenoidal coil with 22 turns of wire is wound tightly around another coil with 330 turns. The inner solenoid is 21.0 cm long

Airida [17]

Answer:

$0.00027646\ T$

$2.33\times 10^{-5}\ H$

-0.04194 V

Explanation:

$N_2$ = Number of turns in outer solenoid = 330

$N_1$ = Number of turns in inner solenoid = 22

$I_1$ = Current in inner solenoid = 0.14 A

$\dfrac{dI_2}{dt}$ = Rate of change of current = 1800 A/s

$\mu_0$ = Vacuum permeability = $4\pi \times 10^{-7}\ H/m$

r = Radius = 0.0115 m

Magnetic field is given by

$B=\mu_0\dfrac{N_2}{l}I\\\Rightarrow B=4\pi \times 10^{-7}\times \dfrac{330}{0.21}\times 0.14\\\Rightarrow B=0.00027646\ T$

The average magnetic flux through each turn of the inner solenoid is $0.00027646\ T$

Magnetic flux is given by

$\phi=BA\\\Rightarrow \phi=0.00027646\times \pi 0.0115^2\\\Rightarrow \phi=1.14862\times 10^{-7}\ wb$

Mutual inductance is given by

$M=\dfrac{N_1\phi}{I}\\\Rightarrow M=\dfrac{22\times 1.14862\times 10^{-7}}{0.14}\\\Rightarrow M=2.33\times 10^{-5}\ H$

The mutual inductance of the two solenoids is $2.33\times 10^{-5}\ H$

Induced emf is given by

$\epsilon=-M\dfrac{dI_2}{dt}\\\Rightarrow \epsilon=-2.33\times 10^{-5}\times 1800\\\Rightarrow \epsilon=-0.04194\ V$

The emf induced in the outer solenoid by the changing current inthe inner solenoid is -0.04194 V

3 0

3 years ago

Use an example to describe the difference between tangential and centripetal acceleration

Tpy6a [65]

Answer:

Say you are holding a thread to the end of which is tied a stone. Now when you start whirling it around you will notice that two forces have to be applied simultaneously. One which pulls the thread inwards and the other which throws it sideways or tangentially.

Both these forces will generate their respective accelerations.

The one pointed inwards will generate centripetal or radial acceleration.

The one pointing sideways will generate tangential acceleratio

Explanation:

A major difference between tangential acceleration and centripetal acceleration is their direction

Centripetal means “center seeking”. Centripetal acceleration is always directed inward.

Tangential acceleration is always directed tangent to the circle.

Tangential acceleration results from the change in magnitude of the tangential velocity of an

object. An object can move in a circle and not have any tangential acceleration. No tangential

acceleration simply means the angular acceleration of the object is zero and the object is moving

with a constant angular velocity

6 0

4 years ago

Sunshine Corporation is expected to pay a dividend of $1.50 in the upcoming year. Dividends are expected to grow at the rate of

grigory [225]

Answer:

$25

Explanation:

The computation of the intrinsic value of the stock is shown below:

As we know that

Intrinsic value or Price = Dividend ÷ (Cost of equity - growth rate)

where,

Cost of equity or ke is

= Risk free rate of return + beta × (Market rate of return - risk free rate of return)

= 6% + 0.75 × (14% - 6%)

= 12 %

So the intrinsic value is

= $1.50 ÷ (12% - 6%)

= $25

7 0

3 years ago

Read 2 more answers

5 The frequencies of AM radio waves,

aleksklad [387]

Message me back and I can help you.

5 0

4 years ago

What happens to the orbit time as the distance increases.

Maslowich

The orbital period increases if the orbital distance is increased.

6 0

3 years ago